Question 3 Let B = {4, 8, 12, 16} Consider the universal statement, Vn € B, 4| n. (Wait - we need a sidetrack lesson here. We have new notation. In this context, the symbol "|" means "divides." For example, 2 | 6 means "2 divides 6" or equivalently "6 is divisible by 2." By the way the statement 2 | 6 is true. Why? Because 6 = 2.3. Notice that we show "divides" is true with multiplication not division. Also, notice that the divides symbol "|" is vertical and not slanted like a division symbol.) a. Write one way to say the given statement out loud. b. Show that the statement is true.
Question 3 Let B = {4, 8, 12, 16} Consider the universal statement, Vn € B, 4| n. (Wait - we need a sidetrack lesson here. We have new notation. In this context, the symbol "|" means "divides." For example, 2 | 6 means "2 divides 6" or equivalently "6 is divisible by 2." By the way the statement 2 | 6 is true. Why? Because 6 = 2.3. Notice that we show "divides" is true with multiplication not division. Also, notice that the divides symbol "|" is vertical and not slanted like a division symbol.) a. Write one way to say the given statement out loud. b. Show that the statement is true.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Step 1
(a) The given statement is
n B, 4 | n.
This can be equivalently expressed as per the given definition of "|" as,
n B, n = 4.k for some integer k.
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